Multi-beam interference technique has been widely used to fabricate large-scale periodic structures. The materials also extend from inorganic to organic. According to the interference theory, we simulate the intensity distribution of three-beam interference. With the same incident angle, we realize two dimensional‘air-hole’(SS-S, P-P-P) and‘dielectric-cylinder’(C-C-C) periodic structures only by changing the polarization configuration of interference beams. Meanwhile, because the organic materials have response properties to the polarization of light, we also analyze the interference polarization distribution. And we find that in one Wigner-Seitz cell, the linear polarization configuration results to the periodic polarization distribution: from linear polarization, to elliptic polarization, to circular polarization, instead of linear polarization.